Question

Represent the following in number line

(a) square root of 3.5

(b) square root of 10.5

Answer 1

1 :draw a line and mark point A on it.

2:mark a point B on the line drawn in step 1 such that AB=3.5
3:mark a point C on AB produced such that BC=1unit.
4:find midpoint of AC . let the midpoint be O.
5:taking O as the center and OC=OA as radius draw a semi-circle. Also draw a line passing through B perpendicular to OB. suppose it cuts the semi circle at D.
6: taking B as the center and BD as radius draw an arc cutting OC produced at E. Point E so obtained represent root 3.5


Draw a line AB of10.5 units Extend the line making BC = 1unit, and AC = 11.5 units Take the midpoint of AC as M = 11.5/2 = 5.75 Draw a semi-circle from A to C as M as the centre. Draw a line perpendicular to AC at point C until is intersects and bisects with the semicircle forming a new point called D CD=√10.5 Put your compass needle at point M and then the other end at point D. Draw an arc till it reaches the number line or intersects with the number line and the point formed let's call it D2(or any other thing you like) D=D2=√10.5